[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2010.47.3.523

τ-CENTRALIZERS AND GENERALIZED DERIVATIONS

Zhou, Jiren (DEPARTMENT OF MATHEMATICS EAST CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY)

Publication Information

Journal of the Korean Mathematical Society / v.47, no.3, 2010 , pp. 523-535 More about this Journal

Abstract

In this paper, we show that Jordan $\tau$ -centralizers and local $\tau$ -centralizers are $\tau$ -centralizers under certain conditions. We also discuss a new type of generalized derivations associated with Hochschild 2-cocycles and introduce a special local generalized derivation associated with Hochschild 2-cocycles. We prove that if $\cal{L}$ is a CDCSL and $\cal{M}$ is a dual normal unital Banach $alg\cal{L}$ -bimodule, then every local generalized derivation of above type from $alg\cal{L}$ into $\cal{M}$ is a generalized derivation.

Keywords

Jordan $\tau$ -centralizer; local $\tau$ -centralizer; local generalized derivation; Hochschild 2-cocycle;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
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